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Finding the Third Proportional to 811,198,408 and 1,751,709,968

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Solution

The third proportional to 811,198,408 and 1,751,709,968 is: 3,782,660,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,198,408 : 1,751,709,968 = 1,751,709,968 : x
  2. Step 2: Convert to fraction form
    811,198,408/1,751,709,968 = 1,751,709,968/x
  3. Step 3: Cross multiply
    811,198,408x = 1,751,709,968 × 1,751,709,968
  4. Step 4: Simplify right side
    811,198,408x = 3,068,487,811,990,560,768
  5. Step 5: Solve for x
    x = 3,068,487,811,990,560,768/811,198,408
  6. Step 6: Final answer
    x = 3,782,660,051.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.